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Finding the Third Proportional to 62,695.90 and 135,385.17

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Solution

The third proportional to 62,695.90 and 135,385.17 is: 292,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,695.90 : 135,385.17 = 135,385.17 : x
  2. Step 2: Convert to fraction form
    62,695.90/135,385.17 = 135,385.17/x
  3. Step 3: Cross multiply
    62,695.90x = 135,385.17 × 135,385.17
  4. Step 4: Simplify right side
    62,695.90x = 18,329,144,763.62
  5. Step 5: Solve for x
    x = 18,329,144,763.62/62,695.90
  6. Step 6: Final answer
    x = 292,349.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.